Generalized almost contact structures on Lie algebroids

E. Peyghan,
C. Arcuł,
A. Baghban,
E. Sharahi

Acta Sci. Math. (Szeged) 84:3-4(2018), 687-704
27/2017

Abstract. We consider the direct sum of a Lie algebroid structure with its dual space and equip this bigger space with a contact form called the generalized almost contact structure and characterize these in the sense of contact morphisms. Attaching an almost generalized complex structure, we recover properties as normality conditions in a direct way and study some aspects of metrical kind of this spaces.